Double-Scale Assessment of Micro-mechanics Based Constitutive Models for Granular Materials Undergoing Mechanical Degradation

  • Alessandro TengattiniEmail author
  • Edward Andò
  • Giang D. Nguyen
  • Gioacchino Viggiani
  • Itai Einav
Conference paper
Part of the Springer Series in Geomechanics and Geoengineering book series (SSGG)


The richness across the scales of geomaterials has long been known. Yet only recently, thanks to the development of new experimental techniques, it has been possible to study the micro (grain scale) origin of some of the phenomena observed at the macro (specimen) scale. This unprecedented insight calls for new models able to build rational links between these two scales. Some recently proposed models for cemented and uncemented granular materials take advantage of this understanding to conjugate the macroscopic irreversible strains with internal variables representing a statistically averaged evolution of the micro-structure. While these models have shown their capability to reproduce the macroscopic behavior of the geomaterials they were designed for, to fully assess them and to prioritize possible enhancements, a comparison between the predicted evolution of the micro-structure and appropriate experimental data is desirable. In this contribution we study the possibility of extracting robust and statistically meaningful measurements of microstructural evolution from X-ray computed tomography images which are then compared with the micro-scale predictions of the existing micro-mechanics based models.


Constitutive Model Granular Material Grain Size Distribution Internal Variable Triaxial Test 
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  1. Alikarami R, Andò E, Gkiousas-Kapnisis M, Torabi A, Viggiani G (2014) Strain localisation and grain breakage in sand under shearing at high mean stress: insights from in-situ X-ray tomography (submitted)Google Scholar
  2. Das A, Nguyen GD, Einav I (2011) Compaction bands due to grain crushing in porous rocks: a theoretical approach based on breakage mechanics. J Geophys Res 116:B08203Google Scholar
  3. Das A, Tengattini A, Nguyen GD, Viggiani G, Hall S, Einav I (2013) A thermomechanical constitutive model for cemented granular materials with quantifiable internal variables. Part II—validation and localization analysis (submitted)Google Scholar
  4. Einav I (2007a) Breakage mechanics—Part I: theory. J Mech Phys Solids 55(6):1274–1297CrossRefMathSciNetzbMATHGoogle Scholar
  5. Einav I (2007b) Breakage mechanics—Part II: modelling granular materials. J Mech Phys Solids 55:1298–1320CrossRefMathSciNetzbMATHGoogle Scholar
  6. Gkiousas-Kapnisis M, Andò E, Tengattini A, Einav I, Viggiani G (2014) Development of image analysis tools to evaluate in-situ evolution of the grain size distribution in sand subjected to breakage (submitted, this volume)Google Scholar
  7. Krajcinovic D (1998) Selection of damage parameter art or science. Mech Mater 28:165–179CrossRefGoogle Scholar
  8. Lagioia R, Nova R (1995) An experimental and theoretical study of the behaviour of a calcarenite in triaxial compression. Geotechnique 45(4):633–648CrossRefGoogle Scholar
  9. Menendez B, Zhu W, Wong T-F (1996) Micromechanics of brittle faulting and cataclastic flow in Berea sandstone. J Struct Geol 18(l):1–16Google Scholar
  10. Nakata Y, Hyde AFL, Hyodo M, Murata H (1999) A probabilistic approach to sand crushing in the triaxial test. Geotechnique 49(5):567–583CrossRefGoogle Scholar
  11. Tengattini A, Das A, Nguyen GD, Viggiani G, Hall S, Einav I (2013a) A thermomechanical constitutive model for cemented granular materials with quantifiable internal variables. Part I—theory (submitted)Google Scholar
  12. Tengattini A, Einav I, Viggiani G (2013b) Experimental study of inelastic deformation at the micro scale in cemented granular materials: some recent results. In: Proceedings of the III international conference on particle-based methods: fundamentals and applications. International Center for Numerical Methods in Engineering (CIMNE) Barcelona, Spain Google Scholar

Copyright information

© Springer International Publishing Switzerland 2015

Authors and Affiliations

  • Alessandro Tengattini
    • 2
    • 1
    Email author
  • Edward Andò
    • 1
  • Giang D. Nguyen
    • 3
  • Gioacchino Viggiani
    • 1
  • Itai Einav
    • 2
  1. 1.Grenoble-INP/UJF-Grenoble 1/CNRS UMR 5521, Laboratoire 3SRGrenobleFrance
  2. 2.School of Civil EngineeringUniversity of SydneySydneyAustralia
  3. 3.The School of Civil, Environmental and Mining EngineeringThe University of AdelaideAdelaideAustralia

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